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Finding the Fourth Proportional to 47,687.16, 65,807.46 and 26,467.32

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Solution

The fourth proportional to 47,687.16, 65,807.46 and 26,467.32 is: 36,524.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,687.16 : 65,807.46 = 26,467.32 : x
  2. Step 2: Convert to fraction form
    47,687.16/65,807.46 = 26,467.32/x
  3. Step 3: Cross multiply
    47,687.16x = 65,807.46 × 26,467.32
  4. Step 4: Simplify right side
    47,687.16x = 1,741,747,102.21
  5. Step 5: Solve for x
    x = 1,741,747,102.21/47,687.16
  6. Step 6: Final answer
    x = 36,524.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.